x^2 + 5x = -2
x^2 + 5x + 2 = 0
We need to use the quadratic formula.
In the formula, a = 1, b = 5 and c = 2.
See picture for quadratic formula. Plug in the value for a, b, and c into the formula and do the math.
Answer:
The slope - intercept equation for this line is y = 17x - 55
Step-by-step explanation:
The general form of the slope-intercept form is
y = mx +b
where m is the slope and b is the y-intercept.
We are given slope m = 17
we need to find b the y-intercept.
To find y-intercept we would use point(3,-4) and formula
y = -4
x = 3
m = 17
b=?
y = mx + b
-4 = (17)(3) + b
-4 = 51 + b
b = -4 -51
b = -55
So, y-intercept is -55
The slope - intercept equation for this line is y = 17x - 55
Answer:
It will take ≈5 hours (5.278)
Step-by-step explanation:
First we need to find how many number she counts in one hour. We know she counts 60 every one minute and there are 60 minutes in an hour. 60x60=3600
Now we divide 19,000 by 3600 to find how many hours it will take
19000/3600=5.278
It will take ≈5 hours (5.278)
The length of the hypotenuse is 10 feet
Find the missing side of the right triangle using Pythagorean Theorem:
10^2 =8.7^2 +x^2;
x^2=100-75.69=24.31
x= sqrt 24.31~ 4.93
Area of trapezoid is area of triangle+area of a rectangle.
A=(8.7x4.93/2)+(12x4.93)
A=80.6055 ~81 ft^2